Here is the full list of all 14 Balloon Chair Death Match achievements.
Earn a medal
Complete the main challenges in Floatonia City
Pop a balloon in the menu
Pop 100 balloons in the menu
Pop 1000 balloons in the menu
Complete all challenges in Floatonia City
Earn all the Gold medals in Floatonia City
Get hit by a train
Get to wave 10 in survival mode
Get to wave 15 in survival mode
Get to wave 20 in survival mode
Kill a player when you have no gas left in deathmatch
Win a deathmatch
Earn your first Gold medal